An estimate of canonical dimension of groups based on Schubert calculus

Autor:	Devyatov, Rostislav
Rok vydání:	2020
Předmět:	Mathematics - Algebraic Geometry Mathematics - Group Theory Mathematics - Representation Theory 20G15 14M15 (Primary) 20G41 14N15 14L30 14C17 (Secondary)
Druh dokumentu:	Working Paper
Popis:	We sketch the proof of a connection between the canonical (0-)dimension of semisimple split simply connected groups and cohomology of their full flag varieties. Using this connection, we get a new estimate of the canonical (0-)dimension of simply connected split exceptional groups of type $E$ understood as a group. Comment: Second version, 13 pages, the proof of isomorphism of Picard groups (Proposition 2.2) is simplified now, a mistake in its statement is also fixed
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2011.00950 Zobrazit plný text záznamu View this record from Arxiv